Bonjour je ne comprends pas cet exercice le voici merci d’avance

Réponse :

Explications étape par étape

Bonsoir

Écrire sous forme irréductible :

A = (7^3 x 2^4 x 3^5)/(2^6 x 7^2 x 3^2)

A = 7^(3-2) x 2^(4-6) x 3^(5-2)

A = 7^1 x 2^(-2) x 3^3

A = 7 x 3^3 / 2^2

A = 7 x 27 / 4

A = 189/4

B = [(3 x 5)^3 x 2^(-2)]/(3^6 x 11^(-3) x 5^2)

B = (3^3 x 5^3 x 2^(-2))/(3^6 x 11^(-3) x 5^2)

B = 3^(3-6) x 5^(3-2) x 11^3 / 2^2

B = 3^(-3) x 5^1 x 11^3 / 2^2

B = (5 x 11^3)/(3^3 x 2^2)

B = (5 x 1331)/(27 x 4)

B = 6655/108

C = 10^7/(2^5 x 5^4)

C = (2^7 x 5^7)/(2^5 x 5^4)

C = 2^(7-5) x 5^(7-4)

C = 2^2 x 5^3

C = 4 x 125

C = 500

D = [(13^3)^(-2) x 2^(-4)]/26^(-5)

D = 13^(-6) x 26^5 / 2^4

D = 13^(-6) x 2^5 x 13^5 / 2^4

D = 13^(-6+5) x 2^(5-4)

D = 13^(-1) x 2^1

D = 2/13